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arXiv · 2610.20445

Universal norms of partially de Rham $B$-pairs and perfectness in Lubin--Tate Iwasawa theory

Marvin Schneider·Rustam Steingart
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Abstract

We study the behaviour of partially de Rham Selmer groups of $B$-pairs along abelian $p$-adic Lie extensions. In the cyclotomic case we compare them with the universal norms studied by Berger. For analytic Lubin--Tate $(φ,Γ)$-modules we prove that the $Ψ=1$ eigenspace is coadmissible of the expected rank over the algebra of analytic distributions and establish a comparison result between its Lie-algebra coinvariants and the projective limit of the partially de Rham Selmer groups of the attached $B$-pair.

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Marvin Schneider, Rustam Steingart. 2026-10-14. Universal norms of partially de Rham $B$-pairs and perfectness in Lubin--Tate Iwasawa theory. https://arxiv.org/abs/2610.20445

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